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#Work calculation

26 public questions tagged with this topic.

Isochoric Processes and Pressure-Temperature

An ideal gas expands isothermally at 510 K from 8 L to 24 L with 0.2 moles . What is the work done by the gas? ( R = 8.3

**Isochoric process** constant volume ΔV=0, work W=0, first law ΔU = Q, all heat goes to internal energy, P/T = constant from ideal gas law P V = n R T at constant V, pressure proportional to temperature, P₁/T₁ = P₂/T₂, e.g., heating gas in rigid container pressure rises proportionally to T. For isothermal: W = μ R T ln((V₂)/(V₁)) . μ = 0.2 , R = 8.3 , T = 510 , V₂ = 24 , V₁ = 8 . W = 0.2 × 8.3 × 510 × ln((24)/(8)) = 846.6 × ln(3) . ln(3) ≈ 1.0986 , W ≈ 846.6 × 1.0986 ≈

Ref: NCERT > Physics Book > Thermodynamics > Isochoric Processes and Pressure-Temperature

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Isochoric Processes and Pressure-Temperature

A gas is compressed isothermally at 320 K releasing 960 J of heat. What is the work done on the gas? ( Delta U = 0 )

**Isochoric process** constant volume ΔV=0, work W=0, first law ΔU = Q, all heat goes to internal energy, P/T = constant from ideal gas law P V = n R T at constant V, pressure proportional to temperature, P₁/T₁ = P₂/T₂, e.g., heating gas in rigid container pressure rises proportionally to T. For isothermal: Δ U = 0 , Δ Q = Δ W . Δ Q = -960 J (heat released). Δ W = -960 J (work by gas negative), so work on gas = 960 J . Using first law ΔU = Q - W, W = ∫ P dV, isobaric W =

Ref: NCERT > Physics Book > Thermodynamics > Isochoric Processes and Pressure-Temperature

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PHYSICS

A charge of 4 μC is moved from infinity to a point where the potential is 250 V . What is the work done?

Given: A charge of 4 μC is moved from infinity to a point where the potential is 250 V . What is the work done? These values define the system as per NCERT data. Formula: Work done = Potential energy = q V. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: W = 4 × 10⁻⁶ × 250 = 10⁻³ J = 1 mJ . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.

Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Electric Charges and Fields and Electrostatic Potential, Topic: Electric field, potential and capacitance concepts.

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